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The pentagram map and Y-patterns
Abstract : The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its ``shortest'' diagonals, and output the smaller polygon which they cut out. We employ the machinery of cluster algebras to obtain explicit formulas for the iterates of the pentagram map.
Cited literature [8 references]
https://hal.inria.fr/hal-01215101
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Submitted on : Tuesday, October 13, 2015 - 3:06:48 PM
Last modification on : Wednesday, August 7, 2019 - 2:34:15 PM
Long-term archiving on: : Thursday, April 27, 2017 - 12:19:30 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Tuesday, October 13, 2015 - 3:06:48 PM
Last modification on : Wednesday, August 7, 2019 - 2:34:15 PM
Long-term archiving on: : Thursday, April 27, 2017 - 12:19:30 AM
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